Back to selection
26790-01 - Main lecture: Complex Analysis (6 CP)
| Semester | fall semester 2019 |
| Further events belonging to these CP |
26790-02 (Practical course) 26790-03 (Practical course) 26790-01 (Main lecture) |
| Course frequency | Irregular |
| Lecturers | Yang Lan (yang.lan@unibas.ch, Assessor) |
| Content | This course gives students an introduction to the theory of functions of single complex variable, a fundamental area of mathematics. Topics include complex numbers and their properties, analytic functions and the Cauchy-Riemann equations, the logarithm and other elementary functions of single complex variable, integration of complex functions, the Cauchy integral theorem and its consequences, power series representation of analytic functions, the residue theorem and meromorphic functions, conformal mappings. Definitions and proofs will be stressed throughout the course. |
| Bibliography | Textbooks for reference: 1. Elias M. Stein & Rami Shakarchi, “Complex Analysis”, Princeton University Press, 2003 2. L. V. Ahlfors, "Complex Analysis", Third Edition, McGraw-Hill, New York, 1978. |
| Admission requirements | Mathematical analysis (or equivalent) |
| Language of instruction | English |
| Use of digital media | No specific media used |
| Interval | Weekday | Time | Room |
|---|
No dates available. Please contact the lecturer.
| Modules |
Module: Analysis and Geometry (Bachelor's Studies: Mathematics) |
| Assessment format | exam |
| Assessment registration/deregistration | Reg.: in 'course reg.'; dereg.: Dean of Std. Off. in writing |
| Repeat examination | one repetition, best attempt counts |
| Scale | 1-6 0,5 |
| Repeated registration | no repetition |
| Responsible faculty | Faculty of Science, studiendekanat-philnat@unibas.ch |
| Offered by | Fachbereich Mathematik |